106440672 has 192 divisors, whose sum is σ = 331490880. Its totient is φ = 29589504.

The previous prime is 106440637. The next prime is 106440673. The reversal of 106440672 is 276044601.

It is a super-3 number, since 3×106440672³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106440673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615178 + ... + 615350.

It is an arithmetic number, because the mean of its divisors is an integer number (1726515).

Almost surely, 2^106440672 is an apocalyptic number.

106440672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106440672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165745440).

106440672 is an abundant number, since it is smaller than the sum of its proper divisors (225050208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106440672 is a wasteful number, since it uses less digits than its factorization.

106440672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 106440672 is about 10317.0088688534. The cubic root of 106440672 is about 473.9172708971.

The spelling of 106440672 in words is "one hundred six million, four hundred forty thousand, six hundred seventy-two".